Ncert Exercises & Solutions

The correct choice among the given regarding formula of Conductivity $κ$ is -

(a) $\frac{1}{R} \frac{l}{A}$

(b) $\frac{G^{*}}{R}$

(c) $Λ_{m}$

(d) $\frac{l}{A}$

1. (a, b)
2. (b, c)
3. (c, d)
4. (a, d)

As we know that, conductance is reciprocal of resistance and conductivity is the conductance of 1 cm³ of substance. Also, conductivity is reciprocal of resistivity.

\begin{array}{l} κ = \frac{1}{ρ} \\ R = ρ \frac{l}{A} \\ ρ = \frac{Γ \cdot A}{l} = k = \frac{1}{(\frac{R \cdot A}{l})} \\ k = \frac{1}{R}, \frac{l}{A} = \frac{1}{R} \times G^{*} = \frac{G *}{R} \end{array}

Hence, options (a) and (b) are the correct choices.

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